Planar rooted line arrangements and an operad for factorized scattering
Mathematical Physics
2024-12-19 v1 Combinatorics
math.MP
Quantum Algebra
Abstract
We introduce two topological non- operad structures on planar line arrangements subject to a certain geometric order condition, ensuring a well-defined notion of particle ordering on a distinguished line. This is interpreted in terms of scattering diagrams in purely elastic (1+1)-dimensional theories. We discuss a possible approach to factorized scattering in operadic terms.
Keywords
Cite
@article{arxiv.2412.14157,
title = {Planar rooted line arrangements and an operad for factorized scattering},
author = {Denis Bashkirov},
journal= {arXiv preprint arXiv:2412.14157},
year = {2024}
}